Benchmark

non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_Bessack_1_0.smt2

Translated to SMT-Lib by Maple SMTLIB package.

Application: 
CAD calls of SUMCracker-ProveInequality to prove Bessack Inequality with (a,b)=(1,0) in
S. Gerhold and M. Kauers, A Procedure for Proving Special Function Inequalities Involving a Discrete Parameter.
ISSAC '05: Proceedings of the 2005 international symposium on Symbolic and algebraic computationJuly 2005 Pages 156-162.
(https://dl.acm.org/doi/10.1145/1073884.1073907)
Benchmark
Size1094
Compressed Size657
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2022-08-10
Generated ByAli K. Uncu, Matthew England, and James H. Davenport
Generated On2022-01-08 00:00:00
GeneratorSUMCracker-ProveInequality function by Manuel Kauers ("https://www3.risc.jku.at/research/combinat/software/ergosum/RISC/SumCracker.html")
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unsat
Inferred Status unsat
Size 1054
Compressed Size653
Max. Term Depth3
Asserts 1
Declared Functions0
Declared Constants3
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 +3 <5 <=1

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.24738 0.14707
SMTInterpol SMTInterpol unsat ✅ 0.41872 0.42994
SMT-RAT SMT-RAT unsat ✅ 0.21206 0.11232
Yices2 Yices2 unsat ✅ 0.21062 0.11044
Z3alpha Z3-alpha unsat ✅ 0.26812 0.16833